Analyzing Support Conditions for Tables/Tripods

In summary, the discussion is about what support condition to assign to the base of a simple, static analysis on a table or tripod with a vertical force. It is suggested to specify one leg as "fixed" and allow the other legs to move in all directions except vertically to prevent the model from becoming a mechanism. This approach may not account for friction between the legs and the floor, but it can still deliver a solution.
  • #1
gomerpyle
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If I am doing a simple, static analysis on something like a table, or tripod with a vertical force acting on it, what support condition do I assign to the base at which the legs contact the ground? I feel like it is incorrect to specify this as "fixed," since that would be like saying the legs are bolted/welded to the ground and not truly representative of the system. All of the simulation tutorials with tables that I can find just assume the base is fixed.
 
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  • #2
Try this: one leg is completely "fixed" (presumably you are dealing with a plate-and-rods model, so each node has six degrees of freedom), the other legs are not allowed to move in the vertical direction, but free to move otherwise. That's the simplest approach that would ensure that the model is not a mechanism (the latter case would lead to the global stiffness matrix becoming singular). Well, it would be something like the table standing on ice (no friction between the remaining three legs and the floor), but still, that would deliver a solution.
 

1. What is the purpose of analyzing support conditions for tables/tripods?

The purpose of analyzing support conditions for tables/tripods is to ensure the stability and structural integrity of these objects. By understanding the support conditions, we can determine the weight and load capacity that the table/tripod can safely hold.

2. How do you analyze support conditions for tables/tripods?

Support conditions for tables/tripods can be analyzed through various methods such as mathematical calculations, computer simulations, and physical tests. These methods involve evaluating factors such as the material strength, design, and distribution of weight on the table/tripod.

3. What are the common types of support conditions for tables/tripods?

The common types of support conditions for tables/tripods include fixed support, pinned support, and roller support. Fixed support provides the most stability and prevents movement in all directions, while pinned support allows for rotation at the connection point. Roller support allows for movement in one direction while preventing movement in other directions.

4. How do support conditions affect the stability of tables/tripods?

The support conditions directly affect the stability of tables/tripods as they determine the amount and direction of force that can be applied to the object. A table/tripod with insufficient support conditions may collapse or topple over when weight is applied, while a table/tripod with proper support conditions will remain stable and secure.

5. What factors should be considered when analyzing support conditions for tables/tripods?

When analyzing support conditions for tables/tripods, factors such as the weight and distribution of the load, the material and design of the table/tripod, and the potential forces that may act upon it should be considered. Environmental factors such as wind or vibrations should also be taken into account to ensure the stability of the object.

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